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This paper builds on recent developments of adaptive methods for linear transport equations based on certain stable variational formulations of Petrov-Galerkin type. The variational formulations allow us to employ meshes with cells of…

数值分析 · 数学 2016-01-05 W. Dahmen , G. Kutyniok , W. -Q Lim , C. Schwab , G. Welper

In the absence of explicit or tractable likelihoods, Bayesians often resort to approximate Bayesian computation (ABC) for inference. Our work bridges ABC with deep neural implicit samplers based on generative adversarial networks (GANs) and…

统计方法学 · 统计学 2026-02-18 Yuexi Wang , Veronika Ročková

Taxonomies are valuable resources for many applications, but the limited coverage due to the expensive manual curation process hinders their general applicability. Prior works attempt to automatically expand existing taxonomies to improve…

计算与语言 · 计算机科学 2021-09-23 Mingyu Derek Ma , Muhao Chen , Te-Lin Wu , Nanyun Peng

Visual Place recognition is commonly addressed as an image retrieval problem. However, retrieval methods are impractical to scale to large datasets, densely sampled from city-wide maps, since their dimension impact negatively on the…

计算机视觉与模式识别 · 计算机科学 2023-12-08 Gabriele Trivigno , Gabriele Berton , Juan Aragon , Barbara Caputo , Carlo Masone

Gaussian variational approximation is a popular methodology to approximate posterior distributions in Bayesian inference especially in high dimensional and large data settings. To control the computational cost while being able to capture…

机器学习 · 计算机科学 2021-04-07 Bingxin Zhou , Junbin Gao , Minh-Ngoc Tran , Richard Gerlach

We introduce EGIC, an enhanced generative image compression method that allows traversing the distortion-perception curve efficiently from a single model. EGIC is based on two novel building blocks: i) OASIS-C, a conditional pre-trained…

图像与视频处理 · 电气工程与系统科学 2024-07-18 Nikolai Körber , Eduard Kromer , Andreas Siebert , Sascha Hauke , Daniel Mueller-Gritschneder , Björn Schuller

Generative adversarial networks (GANs) have shown great success in applications such as image generation and inpainting. However, they typically require large datasets, which are often not available, especially in the context of prediction…

机器学习 · 计算机科学 2020-01-31 Daniel Stoller , Sebastian Ewert , Simon Dixon

We propose a new approach to Generative Adversarial Networks (GANs) to achieve an improved performance with additional robustness to its so-called and well recognized mode collapse. We first proceed by mapping the desired data onto a…

计算机视觉与模式识别 · 计算机科学 2019-08-26 Shahin Mahdizadehaghdam , Ashkan Panahi , Hamid Krim

Knowledge representation learning aims at modeling knowledge graph by encoding entities and relations into a low dimensional space. Most of the traditional works for knowledge embedding need negative sampling to minimize a margin-based…

人工智能 · 计算机科学 2018-10-01 Peifeng Wang , Shuangyin Li , Rong pan

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

机器学习 · 计算机科学 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Likelihood analysis is typically limited to normally distributed noise due to the difficulty of determining the probability density function of complex, high-dimensional, non-Gaussian, and anisotropic noise. This is a major limitation for…

天体物理仪器与方法 · 物理学 2023-06-14 Ronan Legin , Alexandre Adam , Yashar Hezaveh , Laurence Perreault Levasseur

Generative adversarial networks (GANs) have shown remarkable success in generating realistic data from some predefined prior distribution (e.g., Gaussian noises). However, such prior distribution is often independent of real data and thus…

机器学习 · 计算机科学 2020-08-04 Jiezhang Cao , Yong Guo , Qingyao Wu , Chunhua Shen , Junzhou Huang , Mingkui Tan

Approximate nearest-neighbor search is a fundamental algorithmic problem that continues to inspire study due its essential role in numerous contexts. In contrast to most prior work, which has focused on point sets, we consider…

计算几何 · 计算机科学 2021-04-01 Ahmed Abdelkader , David M. Mount

Learning efficient graph representation is the key to favorably addressing downstream tasks on graphs, such as node or graph property prediction. Given the non-Euclidean structural property of graphs, preserving the original graph data's…

机器学习 · 计算机科学 2022-05-31 Bingxin Zhou , Xuebin Zheng , Yu Guang Wang , Ming Li , Junbin Gao

Graph embedding methods including traditional shallow models and deep Graph Neural Networks (GNNs) have led to promising applications in recommendation. Nevertheless, shallow models especially random-walk-based algorithms fail to adequately…

信息检索 · 计算机科学 2022-08-04 Jiayi Zheng , Ling Yang , Heyuan Wang , Cheng Yang , Yinghong Li , Xiaowei Hu , Shenda Hong

Reliable quantification of uncertainty estimates in continuous-time (CT) representation learning remains nascent, particularly within CT attention architectures. We introduce the Neuronal Stochastic Attention Circuit (NSAC), a novel…

机器学习 · 计算机科学 2026-05-26 Waleed Razzaq , Yun-Bo Zhao

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

机器学习 · 计算机科学 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

Recently, graph neural networks (GNNs) have become an important and active research direction in deep learning. It is worth noting that most of the existing GNN-based methods learn graph representations within the Euclidean vector space.…

机器学习 · 计算机科学 2021-10-08 Dai Quoc Nguyen , Tu Dinh Nguyen , Dinh Phung

Embedding geometry plays a fundamental role in retrieval quality, yet dense retrievers for retrieval-augmented generation (RAG) remain largely confined to Euclidean space. However, natural language exhibits hierarchical structure from broad…

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

计算机视觉与模式识别 · 计算机科学 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch